Alerts Wishlist Cart

What is the value of (2 + 3i)(2 - 3i)? (2019)

Practice Questions

Q1
What is the value of (2 + 3i)(2 - 3i)? (2019)
  1. 13
  2. 1
  3. 12
  4. 7

Questions & Step-by-Step Solutions

What is the value of (2 + 3i)(2 - 3i)? (2019)
  • Step 1: Identify the expression we need to calculate: (2 + 3i)(2 - 3i).
  • Step 2: Recognize that this expression is in the form of (a + b)(a - b), where a = 2 and b = 3i.
  • Step 3: Use the difference of squares formula: (a + b)(a - b) = a² - b².
  • Step 4: Calculate a²: 2² = 4.
  • Step 5: Calculate b²: (3i)² = 9i². Since i² = -1, this becomes 9(-1) = -9.
  • Step 6: Substitute the values into the formula: 4 - (-9).
  • Step 7: Simplify the expression: 4 + 9 = 13.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely